document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=34185>Question 34185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f (x)=x/x-2, and g (x)=1/x-1<BR>\n" );
document.write( "Find the composition (f*g)(x)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20495 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20495\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let f (x)=x/x-2,<BR>\n" );
document.write( " and<BR>\n" );
document.write( "LET  g (x)=1/x-1=Y<BR>\n" );
document.write( "Find the composition (f*g)(x)=F(G(X))=F(Y)=Y/(Y-2)<BR>\n" );
document.write( "BUT Y=G(X)=1/(X-1)...SUBSTITUTING...<BR>\n" );
document.write( "F(G(X))=F(Y)=Y/(Y-2)={1/(X-1)}/{1/(X-1) - 2}...MULTIPLYING THROUGH OUT WITH (X-1)<BR>\n" );
document.write( "=1/{1-2(X-1)}=1/(1-2X+2)=1/(3-2X) </SPAN>\n" );
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